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| 1 | +# coding: utf-8 |
| 2 | +# Licensed under a 3-clause BSD style license - see LICENSE.rst |
| 3 | +""" |
| 4 | + Test the Quantity class and related. |
| 5 | +""" |
| 6 | + |
| 7 | +from __future__ import (absolute_import, unicode_literals, division, |
| 8 | + print_function) |
| 9 | + |
| 10 | +import numpy as np |
| 11 | +from ...tests.helper import pytest |
| 12 | +from ... import units as u |
| 13 | +from ... import constants as c |
| 14 | +from .. import UQuantity |
| 15 | + |
| 16 | + |
| 17 | +def test_initialisation(): |
| 18 | + v1 = UQuantity(5, 2, u.km) |
| 19 | + assert v1.value == 5 |
| 20 | + assert v1.unit == u.km |
| 21 | + assert v1.uncertainty == 2 |
| 22 | + v2 = UQuantity(5 * u.km, 2) |
| 23 | + assert v2.value == 5 |
| 24 | + assert v2.unit == u.km |
| 25 | + assert v2.uncertainty == 2 |
| 26 | + v3 = UQuantity(5 * u.km, 2000 * u.m) |
| 27 | + assert v3.value == 5 |
| 28 | + assert v3.unit == u.km |
| 29 | + assert v3.uncertainty == 2 |
| 30 | + v4 = UQuantity(np.arange(5.), 2., u.km) |
| 31 | + assert np.all(v4.value == np.arange(5.)) |
| 32 | + assert v4.unit == u.km |
| 33 | + assert v4.uncertainty == 2 |
| 34 | + v5 = UQuantity(np.arange(5.), np.array([1., 2., 1., 2., 1.]), u.km) |
| 35 | + assert np.all(v5.value == np.arange(5.)) |
| 36 | + assert v5.unit == u.km |
| 37 | + assert np.all(v5.uncertainty == np.array([1., 2., 1., 2., 1.])) |
| 38 | + |
| 39 | +class TestBasics(): |
| 40 | + def setup(self): |
| 41 | + self.v = UQuantity(5., 2., u.km) |
| 42 | + self.a = UQuantity(np.arange(1., 5.), 1., u.s) |
| 43 | + self.b = UQuantity(np.array([1., 2., 3.]), np.array([0.1, 0.2, 0.1]), |
| 44 | + u.m) |
| 45 | + def test_addition(self): |
| 46 | + c1 = self.v + UQuantity(12, 5, self.v.unit) |
| 47 | + assert c1.value == self.v.value + 12 |
| 48 | + assert c1.unit == u.km |
| 49 | + # Uncertainties under addition add in quadrature |
| 50 | + assert np.allclose(c1.uncertainty, |
| 51 | + np.sqrt(self.v.uncertainty**2 + 5**2)) |
| 52 | + # now with different units |
| 53 | + c2 = self.v + UQuantity(12000., 5000., u.m) |
| 54 | + assert c2.value == self.v.value + 12 |
| 55 | + assert c2.unit == u.km |
| 56 | + assert np.allclose(c2.uncertainty, |
| 57 | + np.sqrt(self.v.uncertainty**2 + 5**2)) |
| 58 | + # try array |
| 59 | + c3 = self.v + self.b |
| 60 | + assert np.all(c3.nominal_value == |
| 61 | + self.v.nominal_value + self.b.nominal_value) |
| 62 | + assert np.allclose(c3.uncertainty, |
| 63 | + np.sqrt((self.v.uncertainty * self.v.unit)**2 + |
| 64 | + (self.b.uncertainty * self.b.unit)**2) |
| 65 | + .to(c3.unit).value) |
| 66 | + # try adding regular Quantity |
| 67 | + c4 = self.v + 10. * self.v.unit |
| 68 | + assert c4.value == self.v.value + 10. |
| 69 | + assert c4.uncertainty == self.v.uncertainty |
| 70 | + |
| 71 | + def test_subtraction(self): |
| 72 | + c1 = self.v - UQuantity(12, 5, self.v.unit) |
| 73 | + assert c1.value == self.v.value - 12 |
| 74 | + assert c1.unit == u.km |
| 75 | + # Uncertainties under addition add in quadrature |
| 76 | + assert np.allclose(c1.uncertainty, |
| 77 | + np.sqrt(self.v.uncertainty**2 + 5**2)) |
| 78 | + |
| 79 | + def test_multiplication(self): |
| 80 | + c1 = self.v * self.a |
| 81 | + assert np.all(c1.nominal_value == |
| 82 | + self.v.nominal_value * self.a.nominal_value) |
| 83 | + |
| 84 | + # Fractional uncertainties under multiplication add in quadrature |
| 85 | + assert np.allclose(c1.uncertainty/c1.value, |
| 86 | + np.sqrt((self.v.uncertainty/self.v.value)**2 + |
| 87 | + (self.a.uncertainty/self.a.value)**2)) |
| 88 | + # Test multiplication with straight Quantity |
| 89 | + c2 = self.a * (10. * u.s) |
| 90 | + assert np.all(c2.value == self.a.value * 10.) |
| 91 | + assert c2.unit == self.a.unit * u.s |
| 92 | + assert np.all(c2.uncertainty == self.a.uncertainty * 10.) |
| 93 | + |
| 94 | + def test_division(self): |
| 95 | + c1 = self.v / self.a |
| 96 | + assert np.allclose(c1.value, (self.v.nominal_value / |
| 97 | + self.a.nominal_value).to(c1.unit).value) |
| 98 | + # Fractional uncertainties under division add in quadrature |
| 99 | + assert np.allclose(c1.uncertainty/c1.value, |
| 100 | + np.sqrt((self.v.uncertainty/self.v.value)**2 + |
| 101 | + (self.a.uncertainty/self.a.value)**2)) |
| 102 | + |
| 103 | +def test_more_complex(): |
| 104 | + G = UQuantity(c.G, subok=False) |
| 105 | + m1 = UQuantity(1e15, 1e5, u.kg) |
| 106 | + m2 = UQuantity(100, 10, u.kg) |
| 107 | + r = UQuantity(10000, 500, u.m) |
| 108 | + F = G * (m1 * m2) / r**2 |
| 109 | + assert np.allclose(F.value, 6.67384e-11 * (1e15 * 100) / 10000**2) |
| 110 | + assert F.unit == u.N |
| 111 | + # Uncertainties calculated using partial derivative method |
| 112 | + assert np.allclose(F.uncertainty, np.sqrt( |
| 113 | + (m1.value*m2.value/(r.value**2)*G.uncertainty)**2 + |
| 114 | + (G.value*m2.value/(r.value**2)*m1.uncertainty)**2 + |
| 115 | + (G.value*m1.value/(r.value**2)*m2.uncertainty)**2 + |
| 116 | + (-2*G.value*m1.value*m2.value/(r.value**3)*r.uncertainty)**2)) |
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